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84958650 = 23252723853
BaseRepresentation
bin1010001000001…
…01110110111010
312220212100100200
411010011312322
5133222134100
612232543030
72051064600
oct504056672
9186770320
1084958650
1143a58767
1224551a76
13147a83ba
14b3d7870
1576d2e00
hex5105dba

84958650 has 108 divisors (see below), whose sum is σ = 265590702. Its totient is φ = 19414080.

The previous prime is 84958649. The next prime is 84958681. The reversal of 84958650 is 5685948.

It can be written as a sum of positive squares in 3 ways, for example, as 81920601 + 3038049 = 9051^2 + 1743^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 84958596 and 84958605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 20124 + ... + 23976.

Almost surely, 284958650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84958650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132795351).

84958650 is an abundant number, since it is smaller than the sum of its proper divisors (180632052).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

84958650 is a wasteful number, since it uses less digits than its factorization.

84958650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3885 (or 3870 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 84958650 is about 9217.3016658890. The cubic root of 84958650 is about 439.6116580407.

The spelling of 84958650 in words is "eighty-four million, nine hundred fifty-eight thousand, six hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 49 50 63 70 75 90 98 105 126 147 150 175 210 225 245 294 315 350 441 450 490 525 630 735 882 1050 1225 1470 1575 2205 2450 3150 3675 3853 4410 7350 7706 11025 11559 19265 22050 23118 26971 34677 38530 53942 57795 69354 80913 96325 115590 134855 161826 173385 188797 192650 242739 269710 288975 346770 377594 404565 485478 566391 577950 674275 809130 866925 943985 1132782 1213695 1348550 1699173 1733850 1887970 2022825 2427390 2831955 3398346 4045650 4719925 5663910 6068475 8495865 9439850 12136950 14159775 16991730 28319550 42479325 84958650